**Piecewise** — In mathematics, a piecewise defined function (also called a piecewise function) is a function whose definition is dependent on the value of the independent variable. Mathematically, a real valued function f of a real variable x is a relationship… … Wikipedia

**piecewise** — ˈpēsˌwīz adverb Etymology: piece (I) + wise : with respect to a number of discrete intervals, sets, or pieces * * * /pees wuyz /, adv. Math. denoting that a function has a specified property, as smoothness or continuity, on each of a finite… … Useful english dictionary

**piecewise** — adverb Date: 1674 with respect to a number of discrete intervals, sets, or pieces < piecewise continuous functions > … New Collegiate Dictionary

**Piecewise linear** — may refer to:* Piecewise linear function * Piecewise linear manifold … Wikipedia

**Piecewise linear function** — In mathematics, a piecewise linear function :f: Omega o V, where V is a vector space and Omega is asubset of a vector space, is any function with the property that Omega can be decomposed into finitely many convex polytopes, such that f is equal… … Wikipedia

**Piecewise syndetic set** — In mathematics, piecewise syndeticity is a notion of largeness of subsets of the natural numbers. Let mathcal{P} f(mathbb{N}) denote the set of finite subsets of mathbb{N}. Then a set S sub mathbb{N} is called piecewise syndetic if there exists G … Wikipedia

**Piecewise linear continuation** — implicial ContinuationSimplicial Continuation, or Piecewise Linear Continuation (Allgower and Georg [1] , [3] ) is a one parameter continuation method which is well suited to small to medium embedding spaces. The algorithm has been generalized to … Wikipedia

**Piecewise linear manifold** — In mathematics, a piecewise linear (PL) manifold is a topological manifold together with a piecewise linear structure on it. Such a structure can be defined by means of an atlas, such that one can pass from chart to chart in it by piecewise… … Wikipedia

**piecewise linear** — adjective a) Equal to a sum of finitely many linear functions, each defined on a convex polytope: said of functions between vector spaces b) Having a defining atlas such that there is a piecewise linear … Wiktionary

**piecewise** — adverb a) In terms or by means of pieces; a piece at a time. b) Throughout separate parts, but not necessarily throughout the whole … Wiktionary